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A Hemispherical Bowl of Internal Radius 9 Cm is Full of Water. this Water is to Be Filled in Cylindrical Bottles of Diameter 3 Cm and Height 4 Cm. Find the Number of Bottles Needed in - Mathematics

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प्रश्न

A hemispherical bowl of internal radius 9 cm is full of water. This water is to be filled in cylindrical bottles of diameter 3 cm and height 4 cm. Find the number of bottles needed in which the water can be filled.

योग
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उत्तर

Radius of hemisphere = 9 cm

Volume of hemisphere `= 2/3 pir^3`

`=(2/3pixx9xx9xx9)"cm"^3`

Radius of each bottle `= 3/2 "cm"` 

Height of each bottle = 4 cm

Volume of each bottle `= pi"r"^2"h"`

`=(pixx3/2xx3/2xx4)"cm"^3`

Numbe of bottles `= "Volume of the hemisphre"/"Volume of each bottle"`

`=(2pixx9xx9xx9xx2xx2)/(3xxpixx3xx3xx4)`

= 54

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अध्याय 19: Volume and Surface Area of Solids - Formative Assessment [पृष्ठ ९३८]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 19 Volume and Surface Area of Solids
Formative Assessment | Q 13 | पृष्ठ ९३८
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